Mathematics - Sets and Relations
Practise 26 KCET previous year questions on Sets and Relations, compiled from papers spanning 2008 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KCET tests.
Sets and Relations has been asked in 15 of the 20 years of KCET papers analysed (2007–2026), with 26 questions in all. 85% of them were easy, 15% moderate and 0% tough. Most of its questions came from 2026, with 4 questions that year. In the last three years (2024–2026) it had 9 questions across 3 papers, about 3 per paper.
The chapter's 3 topics are not weighted equally: Questions on number of relations and sets (20 questions, 77%), Questions on Symmetric Transitive and Reflexive Properties (3 questions, 12%), and Questions on Venn Diagram (3 questions, 12%) have been asked the most. Questions on number of relations and sets has also led over the last five years, with 12 questions.
- 1If , then the number of subsets of A which contains at least elements is2026Questions on number of relations and sets
- 2If , then the number of non-empty subsets of A containing only even number is2026Questions on number of relations and sets
- 3If and the number of relations from set A to set B is , then is2026Questions on number of relations and sets
- 4Let R be the relation in the set given by . Which of the following is the correct answer?2026Questions on number of relations and sets
- 5If is an integer and is a natural number and is a prime number Then is,2025Questions on number of relations and sets
- 6and are two sets having 3 and 6 elements respectively. Consider the following statements. Statement (I): Minimum number of elements in AUB i2025Questions on Venn Diagram
- 7Let , then the number of equivalence relations on containing is2025Questions on number of relations and sets
- 8Two finite sets have and elements respectively. The total number of subsets of the first set is 56 more than the total number of subsets of 2024Questions on number of relations and sets
- 9Let . Let be the relation on the set of ordered pairs of positive integers defined by if and only if for all in . Then, the number of ordere2024Questions on number of relations and sets
- 10Which of the following is an empty set?2023Questions on number of relations and sets
- 11Suppose that the number of elements in set is , the number of elements in set is and the number of elements in is 7 , then2022Questions on number of relations and sets
- 12If , then number of subsets of containing only odd numbers is2022Questions on number of relations and sets
- 13Let the relation is defined in by , if then is2022Questions on number of relations and sets
- 14and are non-singleton sets and . If , then is equal to2021Questions on number of relations and sets
- 15If and are two events such that and , then is2020Questions on number of relations and sets
- 16If and total number of possible relations from Set A to set B is 1024 , then is2020Questions on number of relations and sets
- 17The negation of the statement "For all real numbers and is2020Questions on Symmetric Transitive and Reflexive Properties
- 18If \( U \) is the universal set with \( 100 \) elements; \( A \) and \( B \) are two sets such that \( n(A)=50, n(B)=60 \), \( n(A B)=20 \) 2019Questions on number of relations and sets
- 19If \( f(x)= \{ {aligned} K x^{3} ; & { if } x 2 \\ 3 ; & { if } x>2 {aligned} . \) is continuous at \( x=2 \), then the value of \( K \) is2017Questions on Venn Diagram
- 20\( [(-p) q] \) is logically equivalent to2015Questions on number of relations and sets
- 21The inverse of the matrix \( A= [ {array}{lll}2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 4 {array} ] \) is2014Questions on Symmetric Transitive and Reflexive Properties
- 22The area of the region bounded by the lines \( y=m x, x=1, x=2 \), and \( x \) axis is \( 6 \) sq. units, then ' \( {m} \) ' is2014Questions on Venn Diagram
- 23If and have elements in common, then the number of elements common to and is2012Questions on number of relations and sets
- 24Define a relation on as if divides is2011Questions on Symmetric Transitive and Reflexive Properties
- 25Let be an equivalence relation defined on a set containing 6 elements. The minimum number or ordered pairs that should contain is2010Questions on number of relations and sets
- 26is a relation on given by . Which of the following belongs to ?2008Questions on number of relations and sets
Frequently Asked Questions
1.How many questions are available for Sets and Relations?
This chapter includes 26 questions compiled from KCET papers spanning 2008 to 2026.
2.Are these questions only from KCET, or from other exams too?
These are KCET questions specifically for the Sets and Relations chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Sets and Relations an important chapter for KCET Mathematics?
Sets and Relations has appeared in 15 of the 20 years of KCET papers covered here, with 26 questions across 15 papers - about 2 per paper it appears in.
4.What is the difficulty level of Sets and Relations questions in KCET?
Of the 26 questions analysed for this chapter, 85% are easy, 15% moderate and 0% tough. 2026 had the most, with 4 questions.
5.Which topics in Sets and Relations should I focus on?
These topics have carried the most weightage in Sets and Relations:
- Questions on number of relations and sets - 20 questions (77%)
- Questions on Symmetric Transitive and Reflexive Properties - 3 questions (12%)
- Questions on Venn Diagram - 3 questions (12%)
6.Is Sets and Relations's weightage in KCET going up or down?
Across all 15 papers analysed, Sets and Relations has averaged about 1.7 questions per paper. In the last three years (2024–2026), that average has risen, at about 3.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.